Complete question is;
Peter drew two rays, AC and AP with A as a common endpoint. Which of the following statements
might describe Peter's drawing?
I. AC and AP are parallel.
II. PAC is an angle
III. AC and AP are perpendicular
A. I and II
B. II and III
C. I and 111
D. I, II, and III
Answer:
Option B: II & III
Step-by-step explanation:
We are told that Peter drew two rays which are AC and AP.
We are told that A is a common endpoint.
If A is a common endpoint, it means the 2 rays interaction point at A is at an angle.
The angle could also be 90° which means it's possible that the rays AC and AP are perpendicular.
Thus, the correct statements that describe his drawing are: II & III
X=9
3x-12=x+6
2x-12=6
2x=18
X=9
Answer:
4
Step-by-step explanation:
We are told that figure B is a scaled copy of B, which means figure A was enlarged by a certain scale factor to get a similar figure as A, now referred to as figure B.
The scale factor = ratio of any two corresponding sides of both similar figures.
Thus,
Scale factor of the similar figures given = 40/10 = 4.
This means that, figure A was scaled up by 4 times its original size to get figure B. Each side of figure B is 4 × the corresponding side in figure A.
Scale factor = 4
Okay do :
(1)3x-4y = 7
(2)7x - y = 33 -
________________
multiply one of the equations to get the y terms to be the same or the x terms to be the same . In this case it's easier to make the y terms the same . to do this you have to multiply the whole of 7x - y =33 by 4 .
This gives you :
3x -4y =7
28x -4y = 132 - (when signs are the same you take away,when different you add)
______________
25x = 125 ( the -4y cancel out )
divide both sides by 25 to give you the value of x
x= 5 .
Now substitute x=5 into either equation (1) or (2)
It should give you the same answer in both equations .
(1)3x-4y = 7
so you should have :
(3x5)-4y=7
15 -4y = 7
Take away 15 from both sides to get rid of the 15 .
-4y = (7-15)
-4y = -8
divide both sides by -4 to get the value of y .
y = 2 .
to check whether your values are correct substitute y = 2 and x=5 into equation (1) or (2) .
(2) 7x -y = 33
(7x 5) -2
=35 -2
=33
(you can try both equations , it should work on both of the m)
I hope that was helpful :)
